Dynamic behaviors of a double-beam system with double-coupling nonlinear oscillators

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Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (6) : 1-12.

VIBRATION THEORY AND INTERDISCIPLINARY RESEARCH

Dynamic behaviors of a double-beam system with double-coupling nonlinear oscillators

LI Sheng1，ZHAO Yuhao*2，DU Jingtao3，CUI Haijian4

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Abstract

As one of the basic engineering units, elastic beam systems are widely used in various fields, including architecture, aerospace, ocean engineering, and others.It is of great engineering significance to control the vibration level of elastic beam systems.To reveal the potential application of double-coupling nonlinear oscillators(DCNO) in the vibration control of double-beam systems, a dynamic behavior prediction model of double-beam systems with DCNOs was established, where the Lagrange method was used to predict the dynamic behavior of the double-beam system.On the basis of ensuring the correctness of the numerical results, the typical operating mode of the DCNO was studied, and the influence of the DCNO parameters on the dynamic behavior of the double-beam system was discussed.The results show that the introduction of the DCNOs can effectively realize the synchronous vibration control of each substructure of the double-beam system.On the one hand, when the DCNO is in the multi-frequency linear/nonlinear vibration control mode, the vibration of each sub-beam in the main resonance region of the double-beam system is effectively suppressed.Additionally, the multi-frequency nonlinear vibration control mode excites the complicated vibration responses of the double-beam system, resulting in the unidirectional transmission of vibration energy in time domain between elastic beams and DCNOs.On the other hand, according to the vibration control requirements, the working mode and vibration control effect of DCNOs can be realized by adjusting its core control parameters.Setting appropriate core control parameters for DCNOs is conducive to enhancing the vibration control effect of the DCNOs on the main resonance region of the double-beam system.

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double-beam system / nonlinear oscillators / nonlinear response / vibration control

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LI Sheng1, ZHAO Yuhao2, DU Jingtao3, CUI Haijian4. Dynamic behaviors of a double-beam system with double-coupling nonlinear oscillators[J]. Journal of Vibration and Shock, 2025, 44(6): 1-12

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